Nikola Adžaga

collaborators

2 papers

math.NT2020

The extension of the $D (- k)$ -pair ${k, k + 1}$ to a quadruple

Nikola Adžaga, Alan Filipin, Yasutsugu Fujita

Let $k$ be a positive integer. In this paper, we prove that if ${k, k + 1, c, d}$ is a $D (- k)$ -quadruple with $c > 1$ , then $d = 1$ .

math.NT2019

On the extensions of the Diophantine triples in Gaussian integers

Nikola Adžaga, Alan Filipin, Zrinka Franušić

A Diophantine $m$ -tuple is a set of $m$ distinct integers such that the product of any two distinct elements plus one is a perfect square. In this paper we study the extensibility…

The extension of the D(−k)-pair {k,k+1} to a quadruple

On the extensions of the Diophantine triples in Gaussian integers

The extension of the $D (- k)$ -pair ${k, k + 1}$ to a quadruple